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How many 4 letter words can be formed using letters in the word MADHURI if letters can be repeated? - Mathematics and Statistics

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Question

How many 4 letter words can be formed using letters in the word MADHURI if letters can be repeated?

Sum

Solution

There are 7 letters in the word MADHURI.

A 4 letter word is to be formed from the letters of the word MADHURI and repetition of letters is allowed.
∴ 1st letter can be filled in 7 ways.
2nd letter can be filled in 7 ways.
3rd letter can be filled in 7 ways.
4th letter can be filled in 7 ways.
∴ Total no. of ways a 4-letter word can be formed = 7 × 7 × 7 × 7 = 2401
∴ 2401 four-lettered words can be formed when the repetition of letters is allowed.

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Permutations - Permutations When Repetitions Are Allowed
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Chapter 6: Permutations and Combinations - Exercise 6.3 [Page 81]

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Balbharati Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
Chapter 6 Permutations and Combinations
Exercise 6.3 | Q 5. (i) | Page 81

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